Introduction to Trigonometry
10th Grade Mathematics
Presentation
What is Trigonometry?
• Trigonometry is the study of relationships
between the angles and sides of a triangle,
especially a right-angled triangle.
Sides of a Right-Angled Triangle
• 1. Hypotenuse: The longest side
• 2. Adjacent: Side next to the angle
• 3. Opposite: Side opposite the angle
Basic Trigonometric Ratios
• 1. Sine (sin) = Opposite / Hypotenuse
• 2. Cosine (cos) = Adjacent / Hypotenuse
• 3. Tangent (tan) = Opposite / Adjacent
Example: Using Sine Function
• Given: Angle = 30°, Hypotenuse = 10 units
• Find: Opposite side
• sin(30) = Opposite / Hypotenuse
• 0.5 = Opposite / 10
• Opposite = 5 units
Conclusion
• Trigonometry helps in solving triangles using
angles and side lengths.
• Understanding basic ratios like sine, cosine,
and tangent makes it easier to work with right-
angled triangles.

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Trigonometry_Presentation.pptx. Himanshu by Kumar

  • 1. Introduction to Trigonometry 10th Grade Mathematics Presentation
  • 2. What is Trigonometry? • Trigonometry is the study of relationships between the angles and sides of a triangle, especially a right-angled triangle.
  • 3. Sides of a Right-Angled Triangle • 1. Hypotenuse: The longest side • 2. Adjacent: Side next to the angle • 3. Opposite: Side opposite the angle
  • 4. Basic Trigonometric Ratios • 1. Sine (sin) = Opposite / Hypotenuse • 2. Cosine (cos) = Adjacent / Hypotenuse • 3. Tangent (tan) = Opposite / Adjacent
  • 5. Example: Using Sine Function • Given: Angle = 30°, Hypotenuse = 10 units • Find: Opposite side • sin(30) = Opposite / Hypotenuse • 0.5 = Opposite / 10 • Opposite = 5 units
  • 6. Conclusion • Trigonometry helps in solving triangles using angles and side lengths. • Understanding basic ratios like sine, cosine, and tangent makes it easier to work with right- angled triangles.